COMPARING FRACTIONS WORKSHEET

Find which fraction is greater :

1)  6/19 and 16/19

2)  1/2 and 3/5

3)  7/12 and 11/18

4)  5/12 and 3/8

5)  3/14 and 5/21

6)  1/12 and 7/36

7)  5/7 and 3/9

8)  17/45 and 19/60

Answers

1. Answer :

6/19 and 16/19

In the fractions 6/19 and 16/19, the denominator is same. So, the fraction which has greater numerator will greater in value. 

16/9 > 6/19

16/19 is greater than 6/19

2. Answer :

1/2 and 3/5

In the fractions 1/2 and 3/5, the denominators are different. 

Make the denominators same using least common multiple. 

Least common multiple of (2, 5) = 10. 

1/2 = (1 ⋅ 5)/(2 ⋅ 5) = 5/10

3/5 = (3 ⋅ 2)/(5 ⋅ 2) = 15/10

Compare the numerators of like fractions 5/10 and 15/10. 

15/10 > 5/10

Substitute the corresponding original fractions. 

3/5 > 1/2

3/5 is greater than 1/2

3. Answer :

7/12 and 11/18

In the fractions 7/12 and 11/18, the denominators are different. 

Make the denominators same using least common multiple. 

Least common multiple of (12, 18) = 36. 

7/12 = (7 ⋅ 3)/(12 ⋅ 3) = 21/36

11/18 = (11 ⋅ 2)/(18 ⋅ 2) = 22/36

Compare the numerators of like fractions 21/36 and 22/36. 

22/36 > 21/36

Substitute the corresponding original fractions. 

11/18 > 7/12

11/18 is greater than 7/12

4. Answer :

5/12 and 3/8

In the fractions 5/12 and 3/8, the denominators are different. 

Make the denominators same using least common multiple. 

Least common multiple of (12, 8) = 24. 

5/12 = (5 ⋅ 2)/(12 ⋅ 2) = 10/24

3/8 = (3 ⋅ 3)/(8 ⋅ 3) = 9/24

Compare the numerators of like fractions 10/24 and 9/24. 

10/24 > 9/24

Substitute the corresponding original fractions. 

5/12 > 3/8

5/12 is greater than 3/8

5. Answer :

3/14 and 5/21

In the fractions 3/14 and 5/21, the denominators are different. 

Make the denominators same using least common multiple. 

Least common multiple of (14, 21) = 42. 

3/14 = (3 ⋅ 3)/(14 ⋅ 3) = 9/42

5/21 = (5 ⋅ 2)/(21 ⋅ 2) = 10/42

Compare the numerators of like fractions 9/42 and 10/42. 

10/42 > 9/42

Substitute the corresponding original fractions. 

5/21 > 3/14

5/21 is greater than 3/14

6. Answer :

1/12 and 7/36

In the fractions 1/12 and 7/36, the denominators are different. 

Make the denominators same using least common multiple. 

Least common multiple of (12, 36) = 36. 

1/12 = (1 ⋅ 3)/(12 ⋅ 3) = 3/36

7/36 = (7 ⋅ 1)/(36 ⋅ 1) = 7/36

Compare the numerators of like fractions 3/36 and 7/36. 

7/36 > 3/36

Substitute the corresponding original fractions. 

7/36 > 1/12

7/36 is greater than 1/12

7. Answer :

5/7 and 3/9

The fraction 3/9 is not in simplest form, write 3/9 in its simplest form. 

3/9 = 1/3

In the fractions 5/7 and 1/3, the denominators are different. 

Make the denominators same using least common multiple. 

Least common multiple of (7, 3) = 21. 

5/7 = (5 ⋅ 3)/(7 ⋅ 3) = 15/21

1/3 = (1 ⋅ 7)/(3 ⋅ 7) = 7/21

Compare the numerators of like fractions 15/21 and 7/21. 

15/21 > 7/21

Substitute the corresponding original fractions. 

5/7 > 1/3

5/7 > 3/9

5/7 is greater than 3/9

8. Answer :

17/45 and 19/60

In the fractions 17/45 and 19/60, the denominators are different. 

Make the denominators same using least common multiple. 

Least common multiple of (45, 60) = 180. 

17/45 = (17 ⋅ 4)/(45 ⋅ 4) = 68/180

19/60 = (19 ⋅ 2)/(60 ⋅ 3) = 38/180

Compare the numerators of like fractions 68/180 and 38/180. 

68/180 > 38/180

Substitute the corresponding original fractions. 

17/45 > 19/60

17/45 is greater than 19/60

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